Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities
文献类型：期刊论文
| 作者 | Ye D(叶丹); Fan QY(范泉涌); Zhao XG(赵新刚) ; Yang GH(杨光红)
|
| 刊名 | MATHEMATICAL PROBLEMS IN ENGINEERING
 |
| 出版日期 | 2013 |
| 卷号 | 2013页码:1-9 |
| ISSN号 | 1024-123X |
| 产权排序 | 1 |
| 通讯作者 | 叶丹 |
| 中文摘要 | This paper is concerned with delay-dependent stochastic stability for time-delay Markovian jump systems (MJSs) with sector-bounded nonlinearities and more general transition probabilities. Different from the previous results where the transition probability matrix is completely known, a more general transition probability matrix is considered which includes completely known elements, boundary known elements, and completely unknown ones. In order to get less conservative criterion, the state and transition probability information is used as much as possible to construct the Lyapunov-Krasovskii functional and deal with stability analysis. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities to guarantee the stability of systems. Finally, numerical examples are exploited to demonstrate the effectiveness of the proposed method. |
| WOS标题词 | Science & Technology ; Technology ; Physical Sciences |
| 类目[WOS] | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
| 研究领域[WOS] | Engineering ; Mathematics |
| 关键词[WOS] | LINEAR-SYSTEMS ; VARYING DELAY ; ROBUST STABILITY ; STATE-FEEDBACK ; STABILIZATION ; PARAMETERS |
| 收录类别 | SCI ; EI |
| 资助信息 | National Natural Science Foundation of China [61273155, 61273355, 61273356, 61035005]; New Century Excellent Talents in University [NCET-11-0083]; Foundation for the Author of National Excellent Doctoral Dissertation of China [201157]; Foundation of State Key Laboratory of Robotics [2012-001] |
| 语种 | 英语 |
| WOS记录号 | WOS:000318076000001 |
| 公开日期 | 2013-10-05 |
| 源URL | [http://ir.sia.cn/handle/173321/12566]  |
| 专题 | 沈阳自动化研究所_机器人学研究室 |
| 推荐引用方式 GB/T 7714 | Ye D,Fan QY,Zhao XG,et al. Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2013,2013:1-9. |
| APA | Ye D,Fan QY,Zhao XG,&Yang GH.(2013).Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities.MATHEMATICAL PROBLEMS IN ENGINEERING,2013,1-9. |
| MLA | Ye D,et al."Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities".MATHEMATICAL PROBLEMS IN ENGINEERING 2013(2013):1-9. |
入库方式： OAI收割
来源：沈阳自动化研究所
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